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Finding the Fourth Proportional to 156,993.07, 216,652.16 and 85,373.09

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Solution

The fourth proportional to 156,993.07, 216,652.16 and 85,373.09 is: 117,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,993.07 : 216,652.16 = 85,373.09 : x
  2. Step 2: Convert to fraction form
    156,993.07/216,652.16 = 85,373.09/x
  3. Step 3: Cross multiply
    156,993.07x = 216,652.16 × 85,373.09
  4. Step 4: Simplify right side
    156,993.07x = 18,496,264,849.84
  5. Step 5: Solve for x
    x = 18,496,264,849.84/156,993.07
  6. Step 6: Final answer
    x = 117,815.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.